正态分布及其应用重点掌握:•正态分布的概念与特征•标准正态分布的概念和标准化变换•正态分布的应用–估计频数分布–确定医学参考值范围f(X)概率密度曲线示意图频数分布示意图f(x)F(X)φ(u)Φ(u)0uαA正态分布B标准正态分布μ0.00.10.20.30.40.5-4.0-3.0-2.0-1.00.01.02.03.04.0Area=1.00概率-曲线下的面积?PcXdf(X)cdZ.00.01-0.3.3821.3783.3745.4207.4168-0.1.4602.4562.45220.0.5000.4960.4920.4168.02-0.2.412901ZZZ=-0.21举例0举例8.3821PX正态分布标准正态分布101Z58XZ0Z0.3085.3010XZ.382147.5%2.5%47.5%2.5%-1.96+1.9649.5%0.5%49.5%0.5%-2.576+2.576概率%正态分布法百分位数法双侧单侧双侧单侧下限上限下限上限90x1.64sx-1.28sx+1.28sP5~P95P10P9095x1.96sx-1.645sx+1.645sP2.5~P97.5P5P9599x2.58sx-2.33sx+2.33sP0.5~P99.5P1P99445566777778888888991010101010101010111111121313131313131313131314141415151616161616161616171717171718181818192020202021212222222324242525262626272728282930303131323232333541445051对数组段频数累计频数0.6~440.7~260.8~5110.9~9201.0~12321.1~15471.2~18651.3~14791.4~12911.5~5961.6~3991.7~1.81100合计100—摄取比值人数0.75~10.80~20.85~130.90~150.95~261.00~261.05~181.10~151.15~31.20~1.251年龄(岁)人数累计人数累计频率(%)10~770.711~44515.112~15320420.513~24444845.014~26971772.015~19190891.216~6196997.317~1698598.918~899399.719~199499.820~2996100.0合计996——血清总胆固醇值组中值X频数ffXfX2累计频数累计频率2.5~2.7512.757.56310.00993.0~3.25826.0084.50090.08913.5~3.75933.75126.563180.17824.0~4.252397.75415.438410.40594.5~4.7525118.75564.063660.65355.0~5.251789.25468.563830.82185.5~5.75951.75297.563920.91096.0~6.25637.50234.375980.97036.5~6.75213.5091.1251000.99017.0~7.57.2517.2552.5631011.0000478.252242.315发汞值人数f组中值XfXfX2累计频数累计频率1.5~202.550.0125.00208.403.5~664.5297.01336.508636.105.5~606.5390.02535.0014661.347.5~488.5408.03468.0019481.509.5~1810.5189.01984.5021289.0811.5~1612.5200.02500.0022895.8013.5~614.587.01261.5023498.3215.5~116.516.5272.2523598.7417.5~018.50.00.0023598.7419.5~21.5320.561.51260.75238100.00合计2381699.014743.50